PVP Tic-Tac-Toe built with TypeScript and React

I have consciously decided not to build a solo player CPU version at the moment, but to focus on PVP for the time being. The reason for this is that I didn't want to spend too much time on logic with this project, but wanted to get to grips with React itself. I have achieved this with my PVP version.

However, I realize that I probably use useState too often and that there are probably more elegant solutions for this. If you have any tips and tricks, please let me know.